Question

if a/b+b/a= (-1)

then a^3-b^3=??

Answer 1

Answer:

0

Step-by-step explanation:

Given Problem:

if a/b+b/a= (-1)  then a^3-b^3=??

Solution:

To Find:

a^3-b^3 =?

-----------

Method:

Given a/b + b/a = 1

(a^2 + b^2)/ab = 1.

a^2 + b^2 = ab   --- (1)

Then a^3 + b^3 = (a + b)(a^2 + b^2 - ab)

= (a + b)(ab - ab)  (From (1))

 = 0.

Hence,

Answer : 0